An energy criterion for fiber breakage in stressed matrix

Eshelby's method is used in this paper to evaluate approximately the energy released when a fiber, which is embedded in a stressed infinite matrix, is “cut” by the development of cracks in the matrix. The released energy can be considered as a measure of the toughness of a fiber against matrix...

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Bibliographic Details
Published in:Mechanics of materials 1993-07, Vol.15 (4), p.241-252
Main Authors: Mao, Renjie, Sun, G.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fracture mechanics (crack, fatigue, damage...)
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Structural and continuum mechanics
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Summary:Eshelby's method is used in this paper to evaluate approximately the energy released when a fiber, which is embedded in a stressed infinite matrix, is “cut” by the development of cracks in the matrix. The released energy can be considered as a measure of the toughness of a fiber against matrix cracks. As numerical examples, the energies released by breaking an embedded isotropic glass fiber and an embedded transversely isotropic carbon fiber are evaluated and the effects of the fiber geometry, material properties, as well as the stress field on the energies released are demonstrated.
ISSN:0167-6636
1872-7743
DOI:10.1016/0167-6636(93)90001-8